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104632 = 23112941
BaseRepresentation
bin11001100010111000
312022112021
4121202320
511322012
62124224
7614023
oct314270
9168467
10104632
1171680
1250674
1338818
142a1ba
1521007
hex198b8

104632 has 32 divisors (see below), whose sum is σ = 226800. Its totient is φ = 44800.

The previous prime is 104623. The next prime is 104639. The reversal of 104632 is 236401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104639) by changing a digit.

104632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2532 + ... + 2572.

2104632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113400).

104632 is an abundant number, since it is smaller than the sum of its proper divisors (122168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104632 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 7 representation: 104632 = (614023)7.

104632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 104632 is about 323.4687001860. The cubic root of 104632 is about 47.1217606425.

Subtracting 104632 from its reverse (236401), we obtain a square (131769 = 3632).

The spelling of 104632 in words is "one hundred four thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 22 29 41 44 58 82 88 116 164 232 319 328 451 638 902 1189 1276 1804 2378 2552 3608 4756 9512 13079 26158 52316 104632